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Olympiad Test: Playing With Numbers - Class 8 MCQ


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20 Questions MCQ Test - Olympiad Test: Playing With Numbers

Olympiad Test: Playing With Numbers for Class 8 2024 is part of Class 8 preparation. The Olympiad Test: Playing With Numbers questions and answers have been prepared according to the Class 8 exam syllabus.The Olympiad Test: Playing With Numbers MCQs are made for Class 8 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Olympiad Test: Playing With Numbers below.
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Olympiad Test: Playing With Numbers - Question 1

By which of these numbers is the number 3116365 divisible?

Detailed Solution for Olympiad Test: Playing With Numbers - Question 1

The last digit is 5, the number is divisible by 5.
Since 311636−10=311626÷7=44568,  the number is divisible by 7 also.   

Olympiad Test: Playing With Numbers - Question 2

Which of the following statements is false?

Detailed Solution for Olympiad Test: Playing With Numbers - Question 2

A number divisible by 3 and 4 is divisible by 12.  

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Olympiad Test: Playing With Numbers - Question 3

What value should be given to * so that the number 653∗47 is divisible by 11?

Detailed Solution for Olympiad Test: Playing With Numbers - Question 3

Adding the digits at odd places of the given number 653∗ 47,we get 13. Now if the number is divisible by 11, the sum of digits at even places should also be 13, so that 13−13=0 is divisible by 11. We have 7+∗+5=13.

∴ ∗=13−12=1 is the required value.

Olympiad Test: Playing With Numbers - Question 4

Which is the least number of 4 digits that is exactly divisible by 13?

Detailed Solution for Olympiad Test: Playing With Numbers - Question 4

1001 is divisible by 13, as 1001=13×77.

Olympiad Test: Playing With Numbers - Question 5

When is a number always divisible by 90?

Olympiad Test: Playing With Numbers - Question 6

By which of the following numbers is 477 not divisible?

Olympiad Test: Playing With Numbers - Question 7

If a number is divisible by 9, it is also divisible by which number?

Olympiad Test: Playing With Numbers - Question 8

Which number is divisible by 6?

Olympiad Test: Playing With Numbers - Question 9

32 + m is a prime number. What is the least value of 'm'?

Detailed Solution for Olympiad Test: Playing With Numbers - Question 9

The prime number after 32 is 37 which is got by adding 5 to 32.

Olympiad Test: Playing With Numbers - Question 10

Which of the following is not prime?

Detailed Solution for Olympiad Test: Playing With Numbers - Question 10

153=3×51. So, 153 is not prime.

Olympiad Test: Playing With Numbers - Question 11

Which of the given numbers is composite?

Detailed Solution for Olympiad Test: Playing With Numbers - Question 11

147=7×21 is a composite number.

Olympiad Test: Playing With Numbers - Question 12

A prime number is greater than 30 and lesser than 60. What is the greatest possible such number?

Detailed Solution for Olympiad Test: Playing With Numbers - Question 12

The prime numbers between 30 and 60 are 31, 37, 41, 43, 47, 53 and 59. The greatest of these is 59.

Olympiad Test: Playing With Numbers - Question 13

Which of the following statements is true?

Detailed Solution for Olympiad Test: Playing With Numbers - Question 13

The statement in option (D) is true according to the test of divisibility by 8.

Olympiad Test: Playing With Numbers - Question 14

N is a 5-digit number divisible by 5. If N is bigger than 10000 and smaller than 10010, what is the value of N?

Detailed Solution for Olympiad Test: Playing With Numbers - Question 14

According to the problem, a five-digit number between 10000 and 10010 divisible by 5 is 10005.

Olympiad Test: Playing With Numbers - Question 15

Identify the multiple of 8.

Detailed Solution for Olympiad Test: Playing With Numbers - Question 15

672÷8=84  

∴  505672 is a multiple of 8.

Olympiad Test: Playing With Numbers - Question 16

Which of the following is divisible by 12?

Detailed Solution for Olympiad Test: Playing With Numbers - Question 16

If the number is divisible by both 3 and 4, then the number is divisible by 12 exactly.

Olympiad Test: Playing With Numbers - Question 17

X is the least composite number between 85 and 100. What is the value of X?

Olympiad Test: Playing With Numbers - Question 18

Z is a three digit even number less than 200, and more than 190 that is divisible by 7. Find Z.

Detailed Solution for Olympiad Test: Playing With Numbers - Question 18

The number is 196. Hence it is divisible by 7.

Olympiad Test: Playing With Numbers - Question 19

Identify the even prime number.

Olympiad Test: Playing With Numbers - Question 20

How many prime numbers are there between 100 and 200?

Detailed Solution for Olympiad Test: Playing With Numbers - Question 20

The prime numbers between 100 and 200 are 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197 and 199 which are 21 in number.

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